So from what I could gather from existing replies as well as my prior knowledge, the best idea seems to first go with laser because it's faster, cheaper and less painful, and reserve electrolysis for the remaining stubborn hairs if needed, which will likely be white/clear by that point anyway, so much less of a problem with being still visible under the skin even right after shaving, which is causing me massive dysphoria currently and preventing me from having any chance at passing.

Is this the plan I should try to pursue at the hair removal place?